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Finding the Fourth Proportional to 2,389.98, 3,581.04 and 2,298.85

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Solution

The fourth proportional to 2,389.98, 3,581.04 and 2,298.85 is: 3,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.98 : 3,581.04 = 2,298.85 : x
  2. Step 2: Convert to fraction form
    2,389.98/3,581.04 = 2,298.85/x
  3. Step 3: Cross multiply
    2,389.98x = 3,581.04 × 2,298.85
  4. Step 4: Simplify right side
    2,389.98x = 8,232,273.80
  5. Step 5: Solve for x
    x = 8,232,273.80/2,389.98
  6. Step 6: Final answer
    x = 3,444.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.